The Harmonic Oscillator In Modern Physics

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Harmonic Oscillator

Author : Moshinsky
Publisher : CRC Press
Page : 448 pages
File Size : 44,8 Mb
Release : 1996-05-01
Category : Technology & Engineering
ISBN : 3718606208

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Harmonic Oscillator by Moshinsky Pdf

A detailed introduction to the principles of particle detectors used in physics, biology, and medicine. Introductory chapters review the interactions of particles and radiation with matter, introduce the principles of detector operation and describe different types of measurement. The main body of the book describes all currently used detectors and counters, including their basic principles, potential uses and limitations. Two chapters are dedicated to electronics (readout methods, monitoring, data acquisition) and data analysis. A final chapter gives examples of detector systems. Concludes with a glossary of terms, tables of units and physical constants, and a reference list. Annotation copyrighted by Book News, Inc., Portland, OR

The Harmonic Oscillator in Modern Physics

Author : Marcos Moshinsky
Publisher : Routledge
Page : 110 pages
File Size : 49,7 Mb
Release : 1969
Category : Mathematics
ISBN : UCAL:B4523379

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The Harmonic Oscillator in Modern Physics by Marcos Moshinsky Pdf

Harmonic Oscillators and Two-By-Two Matrices in Symmetry Problems in Physics

Author : Young Suh Kim
Publisher : MDPI
Page : 369 pages
File Size : 53,7 Mb
Release : 2018-07-09
Category : Electronic book
ISBN : 9783038425007

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Harmonic Oscillators and Two-By-Two Matrices in Symmetry Problems in Physics by Young Suh Kim Pdf

This book is a printed edition of the Special Issue "Harmonic Oscillators In Modern Physics" that was published in Symmetry

University Physics

Author : OpenStax
Publisher : Unknown
Page : 622 pages
File Size : 41,6 Mb
Release : 2016-11-04
Category : Science
ISBN : 1680920456

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University Physics by OpenStax Pdf

University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity and magnetism, and Volume 3 covers optics and modern physics. This textbook emphasizes connections between between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result. The text and images in this textbook are grayscale.

Introduction to Modern Physics

Author : John Mcgervey
Publisher : Elsevier
Page : 769 pages
File Size : 53,6 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780323161336

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Introduction to Modern Physics by John Mcgervey Pdf

Introduction to Modern Physics, Second Edition is a 16-chapter text that discusses the principles of modern physics. This book deals first with the basic topics of modern science including the atomic nature of matter and electricity; the theory of relativity; the old quantum theory; waves and particles; and the Schrödinger equation. The subsequent chapters cover other general topics of molecular spectra, superconductivity, and the biological effects of radiation, illustrating the fundamental quantum theory of angular momentum and the harmonic oscillator. The remaining chapters explore the properties of nucleus, nuclear transformation, and interactions of particles. This book is an invaluable source for undergraduate quantum mechanics students.

Topics in Modern Physics

Author : John Dirk Walecka
Publisher : World Scientific Publishing Company
Page : 500 pages
File Size : 55,7 Mb
Release : 2013-01-21
Category : Science
ISBN : 9789814436915

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Topics in Modern Physics by John Dirk Walecka Pdf

While the two previous books entitled Introduction to Modern Physics: Theoretical Foundations and Advanced Modern Physics: Theoretical Foundations exposed the reader to the foundations and frontiers of today's physics, the goal of this third volume is to cover in some detail several topics omitted in the essentially linear progression of the first two. This book is divided into three parts. Part 1 is on quantum mechanics. Analytic solutions to the Schrödinger equation are developed for some basic systems. The analysis is then formalized, concluding with a set of postulates for the theory. Part 2 is on applications of quantum mechanics: approximation methods for bound states, scattering theory, time-dependent perturbation theory, and electromagnetic radiation and quantum electrodynamics. Part 3 covers some selected topics in relativistic quantum field theory: discrete symmetries, the Heisenberg picture, and the Feynman rules for quantum chromodynamics. The three volumes in this series taken together provide a clear, logical, self-contained, and comprehensive base from which the very best students can learn modern physics. When finished, readers should have an elementary working knowledge in the principal areas of theoretical physics of the twentieth century.

The Quantum Mechanics Solver

Author : Jean-Louis Basdevant,Jean Dalibard
Publisher : Springer
Page : 343 pages
File Size : 51,7 Mb
Release : 2019-05-22
Category : Science
ISBN : 9783030137243

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The Quantum Mechanics Solver by Jean-Louis Basdevant,Jean Dalibard Pdf

Motivates students by challenging them with real-life applications of the somtimes esoteric aspects of quantum mechanics that they are learning. Offers completely original excerices developed at teh Ecole Polytechnique in France, which is know for its innovative and original teaching methods. Problems from modern physics to help the student apply just-learnt theory to fields such as molecular physics, condensed matter physics or laser physics.

Introduction to the Basic Concepts of Modern Physics

Author : Carlo Maria Becchi,Massimo D'Elia
Publisher : Springer Science & Business Media
Page : 185 pages
File Size : 40,7 Mb
Release : 2010-06-04
Category : Science
ISBN : 9788847016163

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Introduction to the Basic Concepts of Modern Physics by Carlo Maria Becchi,Massimo D'Elia Pdf

These notes are designed as a text book for a course on the Modern Physics Theory for undergraduate students. The purpose is providing a rigorous and self-contained presentation of the simplest theoretical framework using elementary mathematical tools. A number of examples of relevant applications and an appropriate list of exercises and answered questions are also given.

Introduction to Modern Physics

Author : John Dirk Walecka
Publisher : World Scientific Publishing Company
Page : 496 pages
File Size : 44,8 Mb
Release : 2008-07-10
Category : Science
ISBN : 9789814365376

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Introduction to Modern Physics by John Dirk Walecka Pdf

Our understanding of the physical world was revolutionized in the twentieth century — the era of “modern physics''. This book, aimed at the very best students, presents the foundations and frontiers of today's physics. It focuses on the following topics: quantum mechanics; applications in atomic, nuclear, particle, and condensed-matter physics; special relativity; relativistic quantum mechanics, including the Dirac equation and Feynman diagrams; quantum fields; and general relativity. The aim is to cover these topics in sufficient depth such that things “make sense'' to students and they can achieve an elementary working knowledge of them. Many problems are included, a great number of which take dedicated readers just as far as they want to go in modern physics. Although the book is designed so that one can, in principle, read and follow the text without doing any of the problems, the reader is urged to attempt as many of them as possible. Several appendices help bring the reader up to speed on any additional required mathematics. With very few exceptions, the reader should then find the text, together with the appendices and problems, to be self-contained.

Harmonic Oscillators

Author : Yilun Shang
Publisher : Unknown
Page : 214 pages
File Size : 46,8 Mb
Release : 2019
Category : Science
ISBN : 1536158119

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Harmonic Oscillators by Yilun Shang Pdf

"This book gathers state-of-the-art advances on harmonic oscillators including their types, functions, and applications. In Chapter 1, Neetik and Amlan have discussed the recent progresses of information theoretic tools in the context of free and confined harmonic oscillator. Confined quantum systems have provided appreciable interest in areas of physics, chemistry, biology, etc., since its inception. A particle under extreme pressure environment unfolds many fascinating, notable physical and chemical changes. The desired effect is achieved by reducing the spatial boundary from infinity to a finite region. Similarly, in the last decade, information measures were investigated extensively in diverse quantum problems, in both free and constrained situations. The most prominent amongst these are: Fisher information, Shannon entropy, Renyi entropy, Tsallis entropy, Onicescu energy and several complexities. Arguably, these are the most effective measures of uncertainty, as they do not make any reference to some specific points of a respective Hilbert space. These have been invoked to explain several physic-chemical properties of a system under investigation. Kullback Leibler divergence or relative entropy describes how a given probability distribution shifts from a reference distribution function. This characterizes a measure of discrimination between two states. In other words, it extracts the change of information in going from one state to another. In Chapter 2, Nabakumar, Subhasree, and Paulami have revisited classical-quantum correspondence in the context of linear Simple Harmonic Oscillator (SHO). According to Bohr's correspondence principle, quantum mechanically calculated results match with the classically expected results when quantum number is very high. Classical quantum correspondence may also be visualized in the limit when the action integral is much greater than Planck's constant. When de-Broglie wave length associated with a particle is much larger than system size, then quantum mechanical results also match with the classical results. In the context of dynamics, Ehrenfest equation of motion is used in quantum domain, which is analogous to classical Newton's equation of motion. SHO is one of the most important systems for several reasons. It is one of the few exactly solvable problems. Any stable molecular potential can be approximated by SHO near the equilibrium point. This builds the foundation for the understanding of complex modes of vibration in large molecules, the motion of atoms in a solid lattice, the theory of heat capacity, vibration motion of nuclei in molecule etc. The authors have revisited the common solution techniques and important properties of both classical and quantum linear SHO. Then they focused on probability distribution, quantum mechanical tunneling, classical and quantum dynamics of position, momentum and their actuations, viral theorems, etc. and also analyzed how quantum mechanical results finally tend to classical results in the high quantum number limit. In Chapter 3, Neeraj has discussed the nature of atomic motions, sometimes referred to as lattice vibrations. The lattice dynamics deals with the vibrations of the atoms inside the crystals. In order to write the dynamic equations of the motion of crystal atoms, we need to describe an inter-atomic interaction. Therefore, it is natural to start the study of the lattice dynamics with the case of small harmonic vibrations. The dynamics of one-dimensional and two-dimensional vibrations of monatomic and diatomic crystals can be understood by using the simple model forces based on harmonic approximation. This harmonic approximation is related to a simple ball-spring model. According to this model, each atom is coupled with the neighboring atoms by spring constants. The collective motion of atoms leads to a distinct traveling wave over the whole crystal, leading to the collective motion, so-called phonon. The simple ball-spring model enlightens us some of the significant common features of lattice dynamics that have been discussed throughout this chapter. Further, this chapter helps in understanding the quantization energy of a harmonic oscillation and the concept of phonon"--

Quantum Mechanics

Author : John D. McGervey
Publisher : Academic Press
Page : 425 pages
File Size : 45,9 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483288857

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Quantum Mechanics by John D. McGervey Pdf

This re-focused third edition of McGerveys Introduction to Modern Physics is one of the most comprehensive up-to-date textbooks and references sources on quantum mechanics available. This revision fills the gapbetween the mainly descriptive treatments of quantum mechanics, usually found in traditional modern physics texts, and the non-intuitive approaches that treat the subject as a series of mathematical theorems. McGervey achieves this goal with a thoughtfulanalysis of a number of experiments, supplementing these with fully worked examples, and by investigating paradoxes rather than relying on the analysis of a series of dry mathematical theorems. Software, provided with the text, is available for IBM-PC compatible computers with VGA graphics. The software is the basis for the homework problems, many of which have not been used in any form in other books at this level. The text is exceptionally current, a fact reflected in the significant amount of materialbased on articles published in recent years in The American Journal of Physics, The Physical Review, and Science. In all, McGervey provides a lively discussion that will motivate interest and understanding of the subject at the senior undergraduate level. * A re-focused third edition of McGervey's Introduction to Modern Physics* Analyzes a number of different experiments, supplementing these with numerical examples including fully worked problems* Includes software that is the basis for homework problems, many of which have not been seen in any other form in other books at this level* Investigates paradoxes rather than relying on the analysis of a series of dry mathematical theorems

The Amplitude of Oscillation at the Dissociation of a Diatomic Molecule. Modelled as Quantum Harmonic Oscillator

Author : William Fidler
Publisher : GRIN Verlag
Page : 13 pages
File Size : 45,7 Mb
Release : 2020-08-05
Category : Science
ISBN : 9783346220103

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The Amplitude of Oscillation at the Dissociation of a Diatomic Molecule. Modelled as Quantum Harmonic Oscillator by William Fidler Pdf

Research Paper (postgraduate) from the year 2020 in the subject Physics - Theoretical Physics, grade: 1, , language: English, abstract: This work uses findings to generate a set of simple dimensionless equations, one of which yields the maximum amplitude of oscillation of the system at dissociation. The equations incorporate experimental data which are widely available and a set of such data for simple molecules is presented at the conclusion of the work. The simplicity of the equations developed is exemplified by that for the maximum amplitude of oscillation, Xe, when the system encounters an incoming photon possessing the magnitude of the dissociation energy, De, of the molecule, i.e. (Xe/R) = 2 sqrt(De.Be)/We. Here, R is the bond length, We, the energy of the photon which raises the system from the ground state to the first excited state, and Be is the bond rotational constant. It is suggested that the simple expressions developed here have their application in the violent events associated with dissociation in shock waves and/or high energy particles emanating from stellar collapse and hence may be of utility in these areas of astrophysical modelling.

Waves and Oscillations

Author : Walter Fox Smith
Publisher : Oxford University Press
Page : 416 pages
File Size : 53,5 Mb
Release : 2010-05-20
Category : Science
ISBN : 9780195393491

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Waves and Oscillations by Walter Fox Smith Pdf

This lively textbook differs from others on the subject by its usefulness as a conceptual and mathematical preparation for the study of quantum mechanics, by its emphasis on a variety of learning tools aimed at fostering the student's self-awareness of learning, and by its frequent connections to current research.

Fundamentals of Modern Physics

Author : Robert Eisberg
Publisher : Unknown
Page : 754 pages
File Size : 47,5 Mb
Release : 1961
Category : Science
ISBN : UOM:39015011997395

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Fundamentals of Modern Physics by Robert Eisberg Pdf

Understanding Acoustics

Author : Steven L. Garrett
Publisher : Springer
Page : 896 pages
File Size : 50,7 Mb
Release : 2017-02-24
Category : Science
ISBN : 9783319499789

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Understanding Acoustics by Steven L. Garrett Pdf

This textbook provides a unified approach to acoustics and vibration suitable for use in advanced undergraduate and first-year graduate courses on vibration and fluids. The book includes thorough treatment of vibration of harmonic oscillators, coupled oscillators, isotropic elasticity, and waves in solids including the use of resonance techniques for determination of elastic moduli. Drawing on 35 years of experience teaching introductory graduate acoustics at the Naval Postgraduate School and Penn State, the author presents a hydrodynamic approach to the acoustics of sound in fluids that provides a uniform methodology for analysis of lumped-element systems and wave propagation that can incorporate attenuation mechanisms and complex media. This view provides a consistent and reliable approach that can be extended with confidence to more complex fluids and future applications. Understanding Acoustics opens with a mathematical introduction that includes graphing and statistical uncertainty, followed by five chapters on vibration and elastic waves that provide important results and highlight modern applications while introducing analytical techniques that are revisited in the study of waves in fluids covered in Part II. A unified approach to waves in fluids (i.e., liquids and gases) is based on a mastery of the hydrodynamic equations. Part III demonstrates extensions of this view to nonlinear acoustics. Engaging and practical, this book is a must-read for graduate students in acoustics and vibration as well as active researchers interested in a novel approach to the material.